Question

Look at the graph below:

Answer 1

C.......................

Answer 2

we have

$y\geq x+1$ ----> inequality A

The solution of the inequality A is the shaded area above the solid red line

$y+x\geq -1$ ----> inequality B

The solution of the inequality B is the shaded area above the solid blue line

so

The solution of the compound system of inequalities is the shaded area above the solid red line and above the solid blue line

see the attached figure

therefore

the answer is the option A

shaded above first and second line